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Finding the Fourth Proportional to 100,224.68, 138,214.62 and 59,931.88

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Solution

The fourth proportional to 100,224.68, 138,214.62 and 59,931.88 is: 82,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224.68 : 138,214.62 = 59,931.88 : x
  2. Step 2: Convert to fraction form
    100,224.68/138,214.62 = 59,931.88/x
  3. Step 3: Cross multiply
    100,224.68x = 138,214.62 × 59,931.88
  4. Step 4: Simplify right side
    100,224.68x = 8,283,462,020.09
  5. Step 5: Solve for x
    x = 8,283,462,020.09/100,224.68
  6. Step 6: Final answer
    x = 82,648.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.